In many of the problems from last unit, you were given information about the population. For many of the variables, you assumed the variable had a normal distribution. What if the variables you are studying are not normally distributed? Here is your challenge – if the population is not normal, can you make any inferences about that population from your random samples?

As a class last unit, you have created a population of the ages of pennies. Your instructor will share this Penny Population document with you as an Excel file, that will include the histogram, mean, and standard deviation of this population of penny ages.

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1) Describe the distribution shape of the population of penny ages (i.e., left skewed, symmetric, right skewed).

2) On your copy of the Penny Population document, randomly select 5 penny ages from this population. Calculate the mean of this Nickel Sample (sample size n = 5). How does this compare to the population mean?

3) On your copy of the Penny Population document, randomly select 10 penny ages from this population. Calculate the mean of this Dime Sample (sample size n = 10). How does this compare to the population mean?

4) On your copy of the Penny Population document, randomly select 25 penny ages from this population. Calculate the mean of this Quarter Sample (sample size n = 25). How does this compare to the population mean?